Question: Ava is using a new fitness tracker to track the total distance she walks every day.
On Sunday, she walked $\frac{4}{5}$ of a mile and on Monday she walked $\frac{1}{8}$ of a mile. How far did she walk in total?
Write your answer as a fraction, whole, or mixed number in simplest form.
1. **State the problem:** Ava walked $\frac{4}{5}$ miles on Sunday and $\frac{1}{8}$ miles on Monday. We need to find the total distance she walked over these two days.
2. **Formula:** To find the total distance, add the two distances:
$$\text{Total distance} = \frac{4}{5} + \frac{1}{8}$$
3. **Find a common denominator:** The denominators are 5 and 8. The least common denominator (LCD) is 40.
4. **Convert fractions:**
$$\frac{4}{5} = \frac{4 \times 8}{5 \times 8} = \frac{32}{40}$$
$$\frac{1}{8} = \frac{1 \times 5}{8 \times 5} = \frac{5}{40}$$
5. **Add the fractions:**
$$\frac{32}{40} + \frac{5}{40} = \frac{32 + 5}{40} = \frac{37}{40}$$
6. **Simplify if possible:** $\frac{37}{40}$ is already in simplest form because 37 is a prime number and does not share any factors with 40.
7. **Final answer:** Ava walked a total of $\frac{37}{40}$ miles over Sunday and Monday.